Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.

Try continuing these patterns made from triangles. Can you create your own repeating pattern?

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?

You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?

What can you see? What do you notice? What questions can you ask?